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IEEE/IFIP Network Operations and Management Symposium (NOMS)

Analysis on a Performance and Fairness Tradeoff in Entanglement Routing for Quantum Networks

Shu Ichinoseki, Yuki Koizumi, Junji Takemasa, Tōru Hasegawa

Published May 6, 2024• 0 citations
Publisher

Abstract

Quantum networks offer the capability of transferring quantum information among remote nodes leveraging the phenomenon of quantum entanglement. A key challenge is entanglement routing, which routes quantum entanglement efficiently in a quantum network to satisfy specific objectives. We focus on an interesting hypothesis that arises from the probabilistic nature of quantum entanglement: There is a tradeoff between accommodating a higher number of quantum entanglements (performance) and serving a broader range of node pairs (fairness). To confirm this hypothesis, we formulate entanglement routing as a multi-objective optimization problem. Our numerical analysis reveals that the solutions of the model form a Pareto frontier, thereby validating the hypothesis. Furthermore, we compare the performance of existing algorithms against this Pareto frontier to understand how the algorithms balance performance and fairness. Our findings contribute to designing entanglement routing algorithms.

DOI
10.1109/noms59830.2024.10575563

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Quantum networks offer the capability of transferring quantum information among remote nodes leveraging the phenomenon of quantum entanglement. A key challenge is entanglement routing, which routes quantum entanglement efficiently in a quantum network to satisfy specific objectives. We focus on an interesting hypothesis that arises from the probabilistic nature of quantum entanglement: There is a tradeoff between accommodating a higher number of quantum entanglements (performance) and serving a broader range of node pairs (fairness). To confirm this hypothesis, we formulate entanglement routing as a multi-objective optimization problem. Our numerical analysis reveals that the solutions of the model form a Pareto frontier, thereby validating the hypothesis. Furthermore, we compare the performance of existing algorithms against this Pareto frontier to understand how the algorithms balance performance and fairness. Our findings contribute to designing entanglement routing algorithms.
Quantum networks are considered as a promising future platform for quantum information exchange and quantum applications, which have capabilities far beyond the traditional communication networks. Remote quantum entanglement is an essential component of a quantum network. How to efficiently design a multi-routing entanglement protocol is a fundamental yet challenging problem. In this paper, we study a quantum entanglement routing problem to simultaneously maximize the number of quantum-user pairs and their expected throughput. Our approach is to formulate the problem as two sequential integer programming steps. We propose efficient entanglement routing algorithms for the two integer programming steps and analyze their time complexity and performance bounds. Results of evaluation highlight that our approach outperforms existing solutions in both served quantum-user pairs numbers and the network expected throughput.
Quantum networks have emerged as a future platform for quantum information exchange and applications, with promising capabilities far beyond traditional communication networks. Remote quantum entanglement is an essential component of a quantum network. How to efficiently design a multi-routing entanglement protocol is a fundamental yet challenging problem. In this paper, we study a quantum entanglement routing problem to simultaneously maximize the number of quantum-user pairs and their expected throughput. Our approach is to formulate the problem as two sequential integer programming problems. We propose efficient entanglement routing algorithms for these two optimization problems and analyze their time complexity and performance bounds. Evaluation results highlight that our approach outperforms existing solutions in both the number of quantum-user pairs served and network throughput.
Quantum networks are essential infrastructure for enabling large-scale and long-distance quantum communications but face significant challenges in routing optimization and resource allocation due to their probabilistic nature and quantum resource limitations. Existing approaches typically tackle these problems in isolation, often by simply applying classical routing algorithms, maximizing the overall profit to allocate resources without considering fairness, or improving fairness in an ad-hoc way without a rigorous model. This paper proposes a general framework to systematically address these challenges. First, we conduct a thorough analysis of quantum network metrics using routing algebra as the mathematical foundation, and design provably optimal routing algorithms to tackle the unique challenges arising from their probabilistic characteristics. Second, we formulate an optimization model that simultaneously considers fairness among concurrent requests while respecting various quantum resource constraints, and design efficient near-optimal heuristics to solve it. The proposed framework provides both theoretical insights and practical solutions for the design and management of future quantum networks.
Quantum networks are essential infrastructure for enabling large-scale and long-distance quantum communications but face significant challenges in routing optimization and resource allocation due to their probabilistic nature and quantum resource limitations. Existing approaches typically tackle these problems in isolation, often by simply applying classical routing algorithms, maximizing the overall profit to allocate resources without considering fairness, or improving fairness in an ad-hoc way without a rigorous model. This paper proposes a general framework to systematically address these challenges. First, we conduct a thorough analysis of quantum network metrics using routing algebra as the mathematical foundation, and design provably optimal routing algorithms to tackle the unique challenges arising from their probabilistic characteristics. Second, we formulate an optimization model that simultaneously considers fairness among concurrent requests while respecting various quantum resource constraints, and design efficient near-optimal heuristics to solve it. The proposed framework provides both theoretical insights and practical solutions for the design and management of future quantum networks.
Quantum networks are essential infrastructure for enabling large-scale and long-distance quantum communications but face significant challenges in routing optimization and resource allocation due to their probabilistic nature and quantum resource limitations. Existing approaches typically tackle these problems in isolation, often by simply applying classical routing algorithms, maximizing the overall profit to allocate resources without considering fairness, or improving fairness in an ad-hoc way without a rigorous model. This paper proposes a general framework to systematically address these challenges. First, we conduct a thorough analysis of quantum network metrics using routing algebra as the mathematical foundation, and design provably optimal routing algorithms to tackle the unique challenges arising from their probabilistic characteristics. Second, we formulate an optimization model that simultaneously considers fairness among concurrent requests while respecting various quantum resource constraints, and design efficient near-optimal heuristics to solve it. The proposed framework provides both theoretical insights and practical solutions for the design and management of future quantum networks.
Quantum entanglement enables important computing applications such as quantum key distribution. Based on quantum entanglement, quantum networks are built to provide long-distance secret sharing between two remote communication parties. Establishing a multi-hop quantum entanglement exhibits a high failure rate, and existing quantum networks rely on trusted repeater nodes to transmit quantum bits. However, when the scale of a quantum network increases, it requires end-to-end multi-hop quantum entanglements in order to deliver secret bits without letting the repeaters know the secret bits. This work focuses on the entanglement routing problem, whose objective is to build long-distance entanglements via untrusted repeaters for concurrent source-destination pairs through multiple hops. Different from existing work that analyzes the traditional routing techniques on special network topologies, we present a comprehensive entanglement routing model that reflects the differences between quantum networks and classical networks as well as a new entanglement routing algorithm that utilizes the unique properties of quantum networks. Evaluation results show that the proposed algorithm Q-CAST increases the number of successful long-distance entanglements by a big margin compared to other methods. The model and simulator developed by this work may encourage more network researchers to study the entanglement routing problem.